{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn学习BIRCH聚类 https://www.cnblogs.com/pinard/p/6200579.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "# X为样本特征，Y为样本簇类别， 共1000个样本，每个样本2个特征，共4个簇，簇中心在[-1,-1], [0,0],[1,1], [2,2]\n",
    "X, y = make_blobs(n_samples=1000, n_features=2, centers=[[-1,-1], [0,0], [1,1], [2,2]], cluster_std=[0.4, 0.3, 0.4, 0.3], \n",
    "                  random_state =9)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 2220.952539045443\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import Birch\n",
    "y_pred = Birch(n_clusters = None).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()\n",
    "from sklearn import metrics\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/2fc3L2yazOQDyyl222t28/8weihGR+cM5LdDa/yKnTQ0DpVkM+3QGuqYwugR25wIY2Ap22OVp9UtjKoNBDCgXlvmHd1a4biDpdlk2Av468jmCrNsnJrCkxsn0CuuJRvyUnCrCg7VzaLM7Xy7fyHf9b6PhBPa850u6IZdR+cMJFjVqFNTeH/nTCQEbk3h6faXBWxsMWbXnyzK2FHb26wSChrzKzHqx9iSfxCDkKhYWcaT9rksaxdauXcSu+LCpbj5aNcsXu98XYX3FzhL+WjXrLJ9aZxbvyMPtj6f6H+52bUeitHROQMZ3qAL5iAHpTbFSYniwKG6GbVtKodKcnyu2xUXUw+tOSWzYEINCSVZY4PKDPvP6T+rgsayrF0+nxW77eSXO3B1qwp3rBzHrPQNlCoOShUns9M3cOfKcSHp0NQmuseuo3MGcn3jPvydsZXUkhxsihM5SDWmoqnMSt/AyJZDOFiSzTvbp7E2Z/+/npt+MtSzRNEkoh7NIuuxqzC92vMcK+zKthfy0pZf2JB7AIGnKveljleTYS8g21Hoo0bp1lSyHYUszdrFwLLGIf8GJ+2xCyGShRB/CyF2CCG2CSEeqomN6ejoVB+rwcQ3Z9/Lix2v5OpGZ5NgiQ44zq2pZZ5oCbevGMuaKhr1qrWw/mfItBdw98oviDdFhjRegF+FqUkycGlSd1RN5X+rv2R9TgpuTcGlKewvzuSe1ePZkn8woIywTXGyr+jkpBFOlprw2N3AY5qmrRdCRALrhBBzNU3bXgNz6+joVBODJDO4fkfqWaKZdihwerFFMtI/oS1TD60py36pmqd+Kvr1GrC9KA2KKh9rFBIGIWMrd9AsC4kuMU24o/m5rMtNIcdR5KcZo2gKR20FWGUTpScYd6ts8mvBp2oq+4ozEAiaR9SrUn/X6nDShl3TtCPAkbJ/LhJC7AAaArph19E5BVicuT1ogVGj8HjOim3Gr6krT1qn5XSkrjmKHGexz2cyEn3rtsYsG0m35Xn7tpbHoboxSDIRBgt2xeV9y5EQhBssDKzX3jt2a/4hntowwZtCGWmw8HbXG2lfixWsNXp4KoRoAnQFVgW4NlIIsVYIsTYrK+vEyzo6OrWEWTIGFMUyCIkrk3shhKB1nQYBxcJqbA/i1DvOs0hGshyFOE5IC3Vqbn5MWQJA2yCaMFbZRNeYJnx1zj2cHd8SWUjIQqJXfEu+Puce729Z5LLxwJqvyXIUejXdMx2F3L/m61rNla+xX1sIEQFMAR7WNK3wxOuapn0BfAGeytOaWldHR6dihiZ24tv9C/1azrk1lV9SV3CgJJPB9Tvw9d6/a20PjlMww0YSkp9RP0a+y5P90qpOAzrHNGZt7n6vnLKEIMoYxvAGnbHIJj7sfps3C+bEKtZ5R7cElP5VUZl3ZAuXJfeoya/kpUYMuxDCiMeoT9A07beamFNH579ESUEJc75fxN71KTTr1IjzbhtEZMzJ99a0FdtY/skSkibkkHKfBbWRCaTj8d29xRnsL85kSurqgAboTCXKaOXDs27jpc2/kFqa7Xe9XZk2jFN1k2Uv9Ou0pGkqVy/5gHhzJLc1G8iAIBkwuY5iHIr/w8OhuMk9IQRUk5y0YReeU4CvgB2apr1/8lvS0flvcfRAJg/0egZbiQNHqQOz1cSEN3/j4xVv0rBFYpXm2r1uH8t+X41skul7WU/euukj0vdlYK+joiY29jHqx1DRTsmc9drkrJhmtI9O5ol2F/PE+h+9sgkCgVk28HAbT8PrBUe3csSe75MppKKR4fAEJTLsBbywaTL3tjqP65r08Vuna2wTLLLJL3vGLBvpFtu01r5fTXjsfYCbgS1CiI1lnz2radqfNTC3js4Zz6cPfUNhThGq6jEeDpsTp8PFmHu+ZPTcFyu8tzC3CHuxnbrJ8Xz+xPfMGDcHp92FJEn89MZvCCFwO92oSWZwa2D+J77RqU9uWfu8XvEtGdvzTr7e9zcpJVm0qdOAO5oPonlkfQDW5OwLmNJYHrvqYtyeuVye3BOzbPS51jWmKZ2jG7Mx/wD2Ms/dIhnpEtOEztHV19mvjJrIilnKqZnOqqNzWrBuzkavUT+GpmpsWrgNTdMCpsblZxXw0mWj2bVmH7JBIqxOGCUFJbgcHs9bOaHyUT7oDOito2ggV++vr+DUTHc8hgQBg0sSEGsKx6W6MUoG2kcn895ZtwSco741CqMkh1TFmmbLpVmEb1cqIQTvn3UL0w6vZXraOgRwccOzuCSpe62mPJ56R9U6Ov8xDEaD1yCXRzYETlorLbZxS/P7sRV7sioUt4LTXlDhGsKpYRmfhf2uumASHiPvVBHFKiLNidYxjDqGMOyqE1XTcIXQ2u5UNupGITM0sRNCCOambcLJ8e+jAiuy93DRwrcZ2/NOP2NcnksadueHlCW4qPj3cGsqsUEKogySzJWNenFlo17V+i7VQdeK0dGpRQpziti/+SC2YlvQMYNv7IfR7OtjGU0GBlzTO6BXN/q2T7xGvSqYZxUS/lI6htUlSHtsmL/LIeLuA4T/UkCcOZIvzx7JpL4PMzSxU6XyuKc6VoOJkS2GkFaagyr8H0E2xUm+s4TH1v3gdzBannrWaN7vdgvx5kissgmj8G+yZ5IM9Kvb5l8X/iqP7rHr6NQCToeLD+4ax6JfV2A0GVBcClc/cQm3vHSNn7G+a/TN7Nt0gJQtqd7Pklo14L4xt/vNq2kaq6avC3kfkkECDVRVBQ0MW2wYtvg+ZOTNNj6ue4O3tVyziHre1L7TkZYRibzZ9Xpe2fILm/MOoQbJ9tGAHGcR+4szvDH1QHSPa86MgU+RWpKNSTKyNncfY3b+iVtTUTSVAQlteaFj9RuO1wa6YdfRqQXGPfoti6esxGV34bJ7Ds1+fW86CcnxnH/HYJ+xYZFWxix7gx2r9nBw2yGS2zSkfe/WAb11VVVxu4OHBSRZwmCUURQVxaWguis30IpT4YmBL/NT6jgsYWaaR9ZDEiJgxeWpjkAwrtedfLPvbzbkHah0vISEI4SKW0lI3gffJWHduaBBV47a84kyhhFptJ7stmscPRSjo1PDlBSWMPPLeThtvtkU9hIHk9+eGvAeIQTtzm7F+XcMpkOfNkEP1mRZpm2vVgGvGc0Gxq4fTeueLaq85+L8Eq5PGsmTQ1+lzm4V+SRDMSeKav1TyEIw9fAafk5dGdJ4gyTRKrJqKaWe+2SSwuJOSaMOumHX+Q+huBVPSCLYdUVh06JtrJi+lsLcEBSkgqzx5JDXgnrK+Vl+RdlV5qGxd2GNsCCVy2aRDRL3f3In8Q1j2bV6L4qranrgmqpRnF/KhvlbeGrIa0S9nwW24L+VjH+suTzdYptgCCBjUNu4NdWjJV+JFy4hMAsDr3W69rTqeRoqumHXOeNJ2ZrKQ32e43zL9VwUfiOjR3xCSaFvh/oD2w5xY+N7eOGSUYy6+SOuT/ofUz6cUeW1lv6+mtSdaUGvtzundZXnPJHmnZvw1fYPueaJS2nSIRnZIGOymBn3yLeM7PQ4knxyf62dDhfF2SWgBg7FDExox5LzXqFdnYYBr1slI73iWvpJGJwMVXkDOFSaU+kYIQRCCL+88zMFPcauc0aTezSPh/s+T2mh58DQ5XCzcNIy0vcc5cOlrwMeT/3pYa+Rk57nc+83z0+kTc+WtO8dujFeM2s99iAZK0azgbvevjGkefZuSGHF9LXIBol6TRKIS4yhQ982GIyev7J1k+Loe8XZ/D7mTxS34s26qU62zImEYkINkkzfhLbsLjrqnxopYGba+pPeR3mahMeTXppXY5ozStnB53MbJzJz0NNIJ7xd5DmL2V+USaI1hgZhMTWy5j+Jbth1TguOpGQwfewcjqRk0GVge867dSDWiMrjmzM+n+uXI+5yuNm36QB7N6TQomtTti/fTWmRv0F02lxMHzeHlt2aknU4h9j60ZWuGVM/BoNRxn1CKEQ2ytzzwQiadjxebai4FdbO2cTRlExantWMtr1aAvDZw98w66v5OG0ubyqe0WLEbDXx8m9P0HmARxJ2xti/cDoCi1gFwmg2YjQbsJc4UJWKvWnDVhsEiPNLSFxQ1iP18uSeTDiwFLf7eG8mo5BpHF6XXYVHKt+PkFHRQsrASSvNwywbcLirbtglBFoQpXmb4mRvUQat6nji7Kqm8v6OmUw9vAaTZMCluuka25RRXW4gzHD6lO3qoRidU56Nf2/lro6P8fuYmSydsoovn5rAXR0fozCn8jj4/s0HcQUwfkISHN7taZtWWlgayIahaRq7Vu/hyrq3c0+3J7kq4Q4+fmA8SgVZKeffcS6ywT9mGxEdzvDbB3n/nHU4h1tbPsAb13/IF0/+wFNDX+WJwa+wYcEWZn+1AEep0ye/2mV3UZxXwgsXj6KkwFMOn5dZgBYkXOKzdkw4sYkxyAaJ0kKbj1EXksBg9N+vcGqEjT4KdhWcqjcs0zmmEf0T2gAQa47gy17/o3NMYwQCo5DpX68tmbaCCht2GISESTJwZ4tzeafrTSHF4p2am6JqyNxKCK5qdDbNIwKnM6poPpLGU1JX8cfhtThVN8VuOw7VzfrcFN7aFvjQ+1RFN+w6pzSapjH61k9wlDq8XrCj1EHOkTx+eqtyIdHW3Ztjspr8PlfdKk06NAKgfZ82uJ3+nqDBZODogSzsJQ5sxXacdhd/ffM3Xz/3U9D1GjSvz7M/PUxYHSthdaxYIywkNIrnnfkvYTQdj+e+fcvHZB3OwVZkw2lzYi9xsGPlbsY/PQGHzVHB7wGLf13JtuW7QPO8CVSGkASFOUXYS/zn1VTN+7sKSSDJkrfi1bi6hMg7D2CekIthm51z4lsytsedPmGL5pH1+KLX/1g+7DXmDX6etJJcrw5LBTviwVbnM6L5IJpF1OPGJn0r/Q7VRUXjr/SNZWJc/vH0GFM4zcrSGAEmHliG/UR9dtXNgoytXq2X0wFRUdVVbdG9e3dt7drArbp0dMpzJCWDuzo8isPmL8RUr0ldftz/WYX3F2QXMqLNQxTnl3i9W5PFSMf+7Rg1+3nvuKkf/8n4ZyZ4wx+WcDOKWwlY6m8JNzM1/ztkObhRdTld7FqzD7PVRIuuTX3SF0sKS7mq7u1+4ZpjcztszqCeuMEo06R9Mof3HMFe6giprj9QaCgQkiwwmo0oLhW3243JYkRRVBpf0pL7x95Jx7jgolWFLhsjVnwW0sElQB2jlUsbdmdy6gokhJ8xDQUBWGQjthAMrlkY6BzbmM15qSioGIWMLCTG9ryTVuWaaQyd/zoFrlK/+41CZuagp4k2hVd5nzWJEGKdpmndKxunx9h1Tmks4ZagKYrWcEul90fF1+HT1aP47JFvWT9vMyaLkeG3n8uI167zGXfZAxfQumdLpo/7i6KcYvpe0YuPH/gKAhh2l8ONo9RJYU4Rs8bPJ/NQNt2GdGLANb0xmT1eodFkpEOfNsfvcbpYPnUNO1bvJS4xcGNpz30GNM3zVhIQIUjdle6XIx90PosBk9mEu8DfWJ2Iqmg4SsvNq8LVj17MHW8GP/DVNI01OfsYu2cOh0M06gB2xcXPqStOqh2fBtzSdADfpSyq1Jt2aQr1LTHc32s4G/IOEGuKYEC9tlhk37e5HrHNWJCxza+hd7w5kijjqSMZUBm6Ydc5pYlJiKJ1jxZsX7HbJzZsDjNzyX3DQ5ojsVk9Xpv2VKXj2vZq6T3ABJjz7UI2L/Zv3RuXGMP2Fbt5+Yp3UNxu3E6Fpb+tYvLoaXy0/A3CIn0PWIvzS3iw93NkpmbjKHV4JAYCHF4KSdC+TxuadmzElA9n4nK4fDx3S7iZqLp1yDgQemvJx8bfy4IJS1jz18aQ4vHlcTpcTP14Fje9cBVmq//BoVtVeGz992zMO1iptO2JuFSlyo2zT0Tg6R86LLEzs9M3VlhBqqKRbsulTVRD2kQ1RNM0Vmbv8WbvnN+wK73jW3Fv62GsytmLXXHh0hQkBCbJwDMdLq/1BtQ1iW7YdU55npv0CE8MfoWctFwQ4HYp9L/6bC4cOaTW1rSXOrj9zet56rzXcdocHItYmsNM3P3+rbx9y8c+XrW9xMGRfUf5/aOZ3PjcVWSmZvHZI9+ydvZGVFX1Cem4yuL5QhLIBgl46gXxAAAgAElEQVS30xMm0VSNDQu2Ihtlxq57m5Uz1nN4ZxoZqVmYw8wMv/1cFvy0NCTDLiTBRf8byp9fzmP32n1VNurl5zl6IIvGbZP8rs1O38iGvANVjj0bhUyk0UKus7JYfMVYZBNRpnCebX85FzToyrMbJ/o1pj6GWTLQM+54Re5b26by15FN3gfSkqydDK3fiec7XsHEvg8x8cAyNuUdpFF4PDc17UeLCrRkTkV0w65zyhPfIJavt3/ItuW7yD6cQ+seLUhsFlxq9WTYv/kg7905lr0bUpAkQccB7ZANMge3HaJB8/rc/OLVRNWt44lvn4DT7uLvScu47P7zua/H0z7NMwKhqRrKCRWqjlIH6+ZsYthtg7jm8Ut8rrldbjIPZrFy+tqAZw7lCYu00vKsZsz9flHAQ9NQcTsV4hID53H/mb4hJKMuAIOQMckG3KpCx+hGXNCgK+/smF5lT788khD0T2iLEIIuMU1oFpFATq6/YZcR1DFauaJMNnd3YTqz0jf69Du1KU7mHNnElY160TaqIQ+1uaDa+zoV0A27zmmBEMInZl0b5GXk80j/F7zFTKoCWxbvoHG7JCYcGIsQgoM7DrNuzuagJftmq5m/vl2IrcReoVE/htFkwGn3NY72EgcLJy/nnIuPn5Et/X0V790x1nOgGyCD50Q0TeO3MX8GNuohdsgQAmITo5nz3UKG3TaQ8Cjfg8MTi3qC7gV4tsPlJIfFEW+uQ4OwGBRNZX7GVtbnpmBTnMgIZCHRtk5DNhWk+s0hITDJBmQkNDyHpu91uxmrwRMjX5O7j60FhwOuP7xBFx5ofT51ynRdVmTvwR1Ab96pulmRvZu2UYErak8ndMOuo1PGn+Pn+aU9up1u0vYcZcuS7fzy7nQ2zN+CbJADpkdaws1ccu8wNszf4nsIGQQhiYBxWyEE5rDjh3oHtx/irRvH+D0AKqK00Ebq9sCGzs+oBzP0QpBxIIuvn5vIpLen8tmaUcQ3jPNevjSpO5vzD4bktX+wcyazBz3r1WWRhcQbna/jyfU/sjZ3PwhBmMHMpck92FmU7hcvr2+JZlK/h9hekIZRkmkXleSTf748a1dA798sGWgXlUSs+Xhj8DDZhFHIfoVRBkkmXD59ipAqQs9j19Ep4+C2wwGNp6aqfPHEj6ybtxmHzUlpkc1bPCQbJCwRFkwWIwOuPoehtwygacdGyKbK88uNJoNHL/0ETFYTw0ccL2b6+rmJVTLqx6isuvQYDVsk0ueynhjNBmSj7M2NPxaXd5Q6KMgq5IunfmTb8l18++Ikfn1/Ol3UBpxbrwMWyYhRkpErECNwqQoHS7J9PnttyxQ25R/0Vp/mu0oZvf0PnutwJR2jGiEhkBH0jm/N+HPuxiKb6BbblI7RjbxG/e+jW7l2yYf8cnBlwNVlIRFh9M2eGly/Y8A9CgRDEgNfO93QPXYdnTLa9GrJ8j/W+HnbDpuTXWv2BrxH0+DeD24jNjGGvIwCNi7YSs8LuzH+6QlB1xGSJ1/84XEjSUiO54VLRoEoi7krKtc9dalXLEzTNNbO2RRwHtkgEZsYS9ah7IDXjyHJAlUJHns5sj+D8VvfR1VU8jIKuLXl/X5jVEVl8c8rWDFtDfZSB0aTkW9fmMRzkx7hxoF9WZuznyhjGN/vX8T+kky/+xVNJbKcgc11FLMka6dfuqNddTE7fQNfnXM3dsWFJDxZKYGYkbaO0dv+qDQHvn9CO58/x5ojeLPL9Ty3aRKSEJ5GJGi83vla4syB29udbuiGXUenjGG3DWTSqN9xOdwhe7uaprFy5jrW/bXJE1oJEl4pj5AEdZPi6NivLfWbJDD5yJesmrEOe4mDbkM7kZAc7x2bl5EfMOwDoLhVCrIKEEIEbe8mZEFlQXVVUck4kEXDlonE1I8Oun/FrXjlFI7JNLx14xh+yRhPyyYerRWjJPPa1ik+4RlZSLSLakiCJcr7WbajEKOQceL/3dJKcwECVooeQ9M0Ptn1V0CjLiGwyiYkIfFut5sID6Dx0jehDX+d+yxrc/ajAT3imvnltJ/O6KEYHZ0ywqPC+XTN2/S6sFvI94RFWVk3ZxOOMlkAW5Hde/gaDNWtcmTfUZ4c8iqapmENtzDw2j4Mv/1cH6MOngItSQr+oHDaXRX27NQULaSH1BNDXuGNGz5k7/r99LrwLD/9GBFkD0ISbF50PNd/SP2OXNuoNybJQITBjEU20iKyPm91ucHnvqSwuICyvjKCTjHBK1yPUaI4AlaIgidW/na3G/nr3GfpGts06BwW2UTfhDb0S2hzRhl10D12HR0f6ibF0aR9Mqv/3FCh2NcxbAW2kLJfTkRVNfIzC9i2fBcZB7L47uXJZB/OJbl1A+4afTPdz+sMeNIWe17QjVV/rq9y84yqkHUoh0WTl7PijzWMeOMGjh7IJH3vUc9eFZWwOlbyMgoC3lte/10IwX2th3FD0z7sLEinrqVOwBzwMIOZW5v15/uUxV7vXiAwyyZGNB/oMzatNJdv9y9iS34qjcLiuK35QNrUaYBFNlLi9s/6aWCN8clZ/y+ia8Xo6JzAy1e8w7Kpq2t9HWukhSE39WfOd4t8ip3MVhOvTnuKbkM6AZ7K1afOe43da/fV+p7Aoxv/06HPSd9zhCP7M2nWuTGZB7N4/boP/NInw6PC+PnoeK+UQlXQNI3ZRzby3f5F5DpK6BrbhHtbnkfjiLreMSnFmYxYMRaH4kJBRQAmychbXa5nd9ERvt230CccY5GMvNDxSqJMYewpPELDsDj61m19xnRJ0rVidHSqSfs+rVk7Z2NIKYtGswFV0fy8e4PJwFnndWLjgm24Xe6A3rat2M7fk5b66cI4bE7evvUTPln1FnENYvjyqR/Zv/ngyX2pMiRZQpJEhaJgLoebEa0e4NM1b3sPcZu0T2bwTf2Y98NiFLfqDdW8+Ovj1TLq4PHuz2/QlfMbdA065pNds7EpTq/8gAY4VBdvb5/GtP5PAPBDymIciotIo5U7mw/mh5TFpJZk41QVTJJMHWMY48/+n0+M/0xH99h1dE6gOL+E29s+RGFO0fHK0GMh5nJ/XSxhZhp3SGbX6sAZM0ISnH/HuXQe0J63bvqoyvuwhJsZclM/5v6wJLgoWBWpEx9JSX5pSGGmDn3b8MHi13w+S9lykLVzNhMeFcZZQzsyf8ISlk9bQ3RCFFc8dKH3LaOmGDzv1YA67B61xWeINoWhaCo2xUmYbOKDnX/y+6FVOFXf79fAGsMv/R7BGCTD5nQhVI9dN+w6OgHITsvh6+cmsnLGOizhZi66+zyi4iL59sXJFOUWY4kwc/4dg5n26WxcFeSYm8NMRCdEVUm4y4cQq0RDoX2fNmxfsStk3RjJIPF7zrd+omYAJQUl3N3tSXKP5Hlz7M1hZm595RqufuwSv/HV5crF7wWUAjYIiXPrdSDSaOXSpO60KasWDSa7CzCoXnve7hpaa8JTFT0Uo6NTBfZuTGHbsl3E1o+m10VnEd8wjie/9c/nvuCuIdhL7JjDzEz9ZBZaJRknjlJn9Y061IhRD6tjZdRfzzN/wlK2LdsZ+tKqFrCzFMD0cXN9jDp4Cpm+fWEyF9w1hPA6vhK39lIHjlIHdeIiq6SSeGOTvny480+fOLrAUz8w5+hmJAQz09Zzf+vhXNP4HNQKHNWlmTs5Yssj0Xr69TCtKrph1/lPoygKb1z3IatnbUBTVWSjAZPZyHsLX6Zxu2S/8UIIb9/T5VNXh9TA4t9GVVSO7M9kw7zNVbrPYDIE7fG6csbagNWwRrOBPev202VQBwAKcgp58JznvBk2RrOBez64jYvvHhbSHi5P7km6LY/JB5djkGQcigtV01DwPFBVNOyqi492zeK8xM6cW78D0w6vCTiXWTZyoDjrP2HY9Tx2nf80s79awOpZG3CUOnDaXdiKbBRkF/LowJcozA3eUzVly0F2rNzzj+0zWB55KNhLHCyftoZ6TRMqH1yOyJjg3YJiE2MCevOKWyEq3lO9WZhTxHUNRnqNOngOZj+6dzyrZ28IaQ9CCO5vPZxZg57l0x530Du+tV8TDPCoR67L3cd9rYYRYQjcgMWlumkUHh/w2pmGbth1/tPM/GJewIPJwuwi7mj3MHmZvrnbqTvTePWa93ik/4sBm2TXFi27NaNhy0QkWcJgNHj+32Tgxheu4snv7yeiAiMsyRLRCXW48fkrqrRmq7OaB712xYMX+PWSlWSJ+k0TvL1kHx/8ctA3mnGPflelvUQYLV4xLxFAFUYAVtlEtCmMr8++B6PwTW80SQZ6xLWgYVhsldY9XdFDMTr/adyu4BK4RbnFTHzrN+79YATgMer393wae6mj2o0rDEYZTfPXYa8IIQva927NVY9dTH5mAdPHzcUSZuKqRy8mJz2Xp857LWBv1mNoqsb+Lan8+eV8ZIMU2toC2vcOLpPcoW9b7n7/Nj5/7DtEWfpkg2b1OO+WgTw64EWcdhcHtwVRlwSyDofeRq88lyZ1Z3b6Rj8pAUlI9IjzPIiaRNRl/Nl38/a2qewoTMMkGbg4qTsPtj6/WmuejtRIVowQ4mvgIiBT07QOlY3Xs2J0ThUmj57Kdy/9HNT7rt80gR/2fQrAq9e8x9LfVlXbqIOnoGf0vBeZ9tlfzPnm75Dv8+TLqyA8/uqxas868ZFkH86tfIIqZteYrEbGLHuDFl2Cl+SrqspnD3/DzC/mYTAZcJQ6EEKEJGHQvEsTxq1/J/QNlePHlCWM2zMXg5AQCCQh+LD7bXSMbuQ3VtFUJCrX7zld+KezYr4FPgG+r6H5dHQCcnjPEb5/aTJblu4kvmEs1z9zOb0v6VHt+S574Hz+nrSMfRsPBLweHn08xLF9eeipgsEoLbLx8hXv8mPKp3Qb3IFRN30c0n1+HnlZiCMkow5VMuqSLNGkfSMcpU40TQtqFKd8MIPZX/+N2+n2CpWF2sf0gU/uDH1DJ3BT035c0KAra3P3ESab6RnfIqgCpBxiM5AzjRr51pqmLQZC/C9MR6d6pO09wn09nmLRz8vJPpzDzlV7ePOGMUz9ZFa15zRbzXy6ehRN2vtnwAAUZBZQWuQR9aqbFBdwTFXQVI2i3CK2LN7BORf3OKlD0dpCkgQHth7i6WGv80j/FwK2AQT49f0ZVS6cEkLw5Hf3075365PaY6w5gvMSO9M3oU1Qo/5f5r/5ONM5Lfnh1V+xlzh8RLccpQ6+eW4izpM4yJQNMm/PewHZ4K8nUphTxJQPZgBw4/NXYQ47+Q479hIHGxZsISzS6iOgdargdik47U7sJXZ2r9vPD6/8EnBccV7gxtHlMZoNNGhRn6RWiVz+0AVMSvucoTcPqOkt65zAP/ZflRBipBBirRBibVbWSRRs6Pxn2bpkR8D4raZpZBzwb+4QKpqmsWL6uoDyt067i4WTlwFw9kVnMXzEII8xPklH+4/P/uK9u8bWqmKjD9Xcr8vuYs53CwNea9U9eNbMMQwmA5+tGcU3Oz/i3g9GEFu/ZnLI8zILmPvDIhb9vBxbccUyyf9F/rF3GE3TvgC+AM/h6T+1rs6ZQ91GcWQc9HcK3C6F6ARfgacdq/Yw5cMZZB3Koef5Xbjk3uFExkT43Qvw4T1fMO+HxUEP/UwWT1rfvB8XMfvrBSE34aiIorxiFkxYctLzhILJYmT47YP5Y+zsalWyBsscuueD23hs4Es47S5URfU2/DBZjMgGGUu4hZd/e9yvCfbJMvWTWXz55A9IBhlR1nnqxV8fp8ewLjW6zumMHpzSOW244dkreeXKd33iuiaLkd6X9fQx2nO+X8hH936J0+ZE02DP+v3MGDeXzze+S50439Zne9bvZ/6Pi3HaAis5WsLNXHz3eaiqyph7vsQRZFyV0ahWH9NQkQwSmqJiDjPTbWgnbn75ajYt3ErqjrQKG3MEwlZk46vnfuK2V671CVe1Oqs5n6wexU9v/Mae9ftp3C6Ja5+6DCEEQkCLrk2RpJoNCqRsTWX8Uz+W/XbHf79Xr3qXyelfBtS1+S9SI7+6EGIisAJoLYQ4LIS4oybm1dEpT49hXbhvzAgiosOxhJsxmo30vaIXj391j3eM0+Hi0we/Lsvo8HzmsrvITsvlob7PU5jjW026ZvbGoK3nZINMn8t6MvyOc5n5xTw/LfJTGdWtEhYVRmxiDKtnruf6pP+hqhoRMeEYzVXz5xS3yu9jZjL20W/9rjVum8QzPz7I19s/5KVfH6dNjxa07t6cVmc1r3GjDjDvh8W4Avz7EpJg5Yx1Nb7e6UqNeOyapl1fE/Po6FTG+XcMZugtA8g6lEOduAi/1/zU7YcJ5pAe3pXO44Nf5vMN73pT+MIirchGA4rb1xOXDBLXPnUpI17z/Kc99ePqZ978W5Tkl1KSf1zp8NDONMKjwuh/dW8WTV5WJZ0bR6mTWePnc8ebNwTVj/kncNgcgc9ZVC3oW9d/kVPvSF5HpxIMRgOJzeoFjN1GxISjVFBNemR/po/CYbtzWgWMIatulQ59jlde5mXmV74xQY1kuZgsxlpLg3S73CS3TkQKkAFUGZoG6fsyamFXodP38l5Ywv0zkxS3Svfheoz9GLph1zmtcTpc/PTWb9zS8n5uanYvU96fTkz96OA3aBqH9xwlOz2X+89+hof7PY8apMR+4lu/k5dZwPRxc4hJCKH7jkaNHKy6nG6G3TbwpOcJhKPUSe7RfJ6b+DCWMDNCDvAACfJMcTlcPDbwJXb9Qy36AtF5YHt6X9bTa9wlSWC2mrj11WuJb/Df0IEJBb3Rhs5pi6ZpPDboJXas3OMbJw/Q7egYlnAz7/79Mu+O+IzUnWkVGmKDySO2JYTHIwwWi69pDCaZO0fdxDkXncWjA18iJz2vxua2Rlh4aOxIBt/YD1uxjY/v+4r5E5cEfbgFIi4xhp8OjauVGHooaJrGhvlbWPzrCkxWE+fdMpAWXYNLH5xJ6I02dM54pn06my2Ld/hfCOKrGC1GWvdogSRJHD2QWal3HciQS7JEVHwk4VFh5GUUeKsyazIf3e1U+OLxH1gyZRWv/P4kb938EWm7j5z0vEIIohLq0O+qswGwRlg5kpIR0Kgf84gDHRiXFtvYs24/rXu0OOk9VQchBN2GdKrxNnxnEnooRudfR3ErOGxVyzgpKSjhiycqlyaSDTJGi5HI2AguvW84b8x8htyj+Uhy5TFm2eD/10PTNAZc05tvdn7E77nfMuqv54lPqvkQgKqqbFu2k8fPfZleF3TDZPVvGC0bZZLbNPDkjRtlrBEWTFYT0Ql1sEZY/PXSBSQ2rUfWoWyeOf91LrBcz9alwTsqJbVuEPBzIUTAzBSdUwfdY9f51ygpKGHMveNZMmUlqqLSrHNjHv3iblp2a1bpvUt+W00o5ZSKW8Fgkhl4TW9ufvFqzFYzrXs0x+2sPIc8ULYMmoaiqN7OS6v+XF+r2RgOm5Odq/fQoFk9Du1OR3Ed965Vt0pOeh4PjxtJfmYhsYkx9Lm8J7ZiOx/873NW/uHbSUhTNbYu2cnITo9VmEMvSYK6SXFccs8wPnv4Gz+vXZIl2vT8d7x1ndDQPXadfwRN01BV31f+Zy94k6VTVuJ2ulEVlb3rU3hs0Etkp1Wu1V2cVxxyoY2j1Mmsr+fz+Lkvo2ka0XWjuOLhCwNmVxzDEm4mUN6k2Wpm0LV9WDBhKWtmb6j1FDtN1dixcg+Hdh/xMerg+U1LC21MHj2Nqx+/hJ4XdOWVK9/hxsb3sHL62oBpn6qqVGjULeFmGrRI5M1ZzzH0lgG0PacVlghPRyKj2YA5zMyzEx7CYNR9wlMZ/d+OTq1SlFfMJw98xeJfV6K4FToPaMdD4/6HvdjO/s0H/V7p3U4308fOYcTrFZdGdBvSiW9fnMSJDnUw3E6FQzvT2Lx4O50HtOf2N26gZbdm/PLuH+xZn4KqKD6GMK5BLN2GduKvrxegqhqqW8FoMTJsxCA69G3DN89P/McKljRVQ1GDx/APbj/Ma9e8R25GPjtX7a3wkLeiJhtGs4HnJj5MrwvP8ub5j5r9POvmbGLd3M1EJ9RhyE39iW948iqXOrWLbth1qk1uYSkHMnJJqhtNQrS/DoumaTx+7suk7kjzGptNC7fz4DnPMvKdWwLmfLscblK2pFa6drNOjRl4bR8W/bzca2BNViMNmtfn4LbDAb15t8tNyuZUOg9ojxCC/ledQ/+rzsFWbOPX96Yz4Y3fvAY+bc8RctJzufyhC4mIDsdpc3D2xd297eJcIYRy/klW/LEWRVErPBA2Woy4KvDWhSTRbUgnH/11SZLoMbwrPYZ3rdH96tQuumHXqTKKqvLmT/OZuWoHJoOM063Qv2MzXhsxHHO5V/QtS3ZwZF8GLlXF2TQWJIHxcAFOu5O0vekBM0kkg0TrnhWrBu5au481szbQpEMy7XuPYNnU1aiKypCbB3Bk/1G+e/HnIHcKGrZKRNM0DmxNRVFUmnVqjDXCSubhHDRN8/Ha7SUOpn0yi18yvsJSTq735zIvv7rIBgmEqNFMmooOMyVZol7jeBS3SmZqdtAxVz1ykVfwTOf0RjfsOlXmuzlrmbVmJ063gtPtMU5Ltu7nwymLeeq6c73jDu8+gi0hnNyBnY/HqyUJ57L95B8toOvgjqycuc4nPVF1qyz5bRV1k+Jwu1QkWaLH8C7EJcagaRofjPycBROX4rI7MZgMCCF46ocH6XdFLwBmfD4Xk9WIo9Q/RhMRHUaduAhuanovhTlFCCGwhFt44edH2RJEEliSJdL3HqVZp8YArJ+/hR9e+bl6RlnATS9cxXVPX87nj33HzC/m1UhBU0UYTQauePhCrn/2Cq6se3vQcbe8cg3XP315re5F559DN+w6VWbi3xuwn+AhOlwKU5Zu4YlrBiGVlcMntKxH7sAWYPRNLSzp04zotkl0axjH2r82+mmW7NtwgHdGfAZ44r4IwZ1v3UBymyT+nrTUq+547BDw7Vs+pvt5nbBGWBlwzTl8HigNUsDLvz3BU0Nfo6TguH6KrdjOsxe+SevuzQPmirscbp9K1mmfzAoYW5cMEi06N2HPhpSA7fNi6kUz6q/nadapMQe2HfrH4vOWCAtXPnJRhVIHsYnR3PjslezbdIA1szdiCTcz4OpziKlXQQVvEJwOF6WFpdSJi/zXCph09KwYnWpQHCTn3K2onPf05/yyeJOn+YVF9hp5HyRBYVIdti3dUakQlcvhxmV38fWzE5n6cWCjKhsk1s/bAkBkTAT3vH9rgDEyY+75MmDIQlVUmrRPxhzmG4YwWYz0urCbj5xAflZhwH1awsx06NsWk8U/39xoMTLs9kHENYjhz/HzuL/n08yfsKTWvXUhCQZc4zHQ1nALnQe09zPwJouRobcM5KP7x/PA2c/w1bMT+Ozhb7gu+X8smLg05LVcThcfPzCey2Nv44ZG93Bdw5EsmBT6/To1i+6x61RITmEJY6evYOGmfVhMBq7u35nkutHsTQ+ckphbZOODKYspKLETGxmG0WLyE+USksClaSQmx2OyGP3S7zRAjTCBBnKJJ6TisDlZPWt9wDVPbLi8ZvZGvzGKSwl6KOu0Odmzfj9xiTFkpGajqRqaqpHQKJ5bX73WZ2yfy3qyd0OKX5qj4lYxmAwBQ0Auu4vfPpjBlPdnoLjdqErNy3gYTAa/bBhN1di5aq/3z098ex+P9HuB/MxC3C43skGiZbdmdOzXlpevGI3b6XnIaprn+4+6aQwd+7ahbnJ8ue+psGTKShZOXo410sKFdw2hQ9+2fHz/VyyYsMT7u+RlFPD+nWOJrhtFt8Eda/z76lSM7rGfgRzMyGPcjBWM+W0Jm/alV7mxwjFK7E5ufOsn/lixjdyiUtJzCvl8xgqfnqOBsDvdfPPXGrq1aIhT8ffILSYDg7q0YNitA/0qQDVAsxjIv6IT+dd1o/D8NmgVaL8A2Irs/PzuNFbNXIfT4WLl9CrqEAnPgWz6vgwUl4KqqGiaxtGULB48+1l2rzsuenXR/4aS0Cges9XXu4+pH0V4VBjWspzvE3HaXbgcrpCNumyQuHDkEGRjaCqMitv/dxYC6jWp6/1zbP1oug7qgMvpQpIEqltFMkjM/WGh16iXR9Pg8yd+OL6GovDsBW/y3p1jWTZ1NfN/XMzTw9/gmxcnMe/HxX5NSBylTia8/mtI+9epWXTDfoYxZclmrnvjR76avZrv567lno+m8PqEedUy7n8s30ZhqR13uZCB3eXmcHYBhkpkZTVNY8aq7QFrQ+tGR9C9VRIx9aJ5a9azxCfFekMYSrSFgks7gtUEBgnzrtD6425btouXr3iXN2/4sEo648cIdBjqdrmxFdsZc88X3s/CIq28v+hV2p3Tymfs0f2Z/PTGFMKiwqq8diCEEOxctYcm7ZKQAkgbnIgl3OwnIWC0GLnm8Uu8f/59zEwWTFqG4vIUKbmcbnas2M2G+VuDzrtj5W7vP6/4Yy3bV+72hsM0zdNM/OfR05CDxNOP7g+9F21hThGjb/uEiyNv4uLImxh92ycUZAcOfelUjG7YzyDyikp555eFOFxuFEVFw+M9z16zi3V7Dld5vg370vwOSQEMssQ57ZpgNfnHk4+hafDH8u0oAbz7o7lFqGUPmg592/LTwXGMXf8OYVd1o+DqLqjRZY0cVA3TgVxEiM8kt8vNst9XhzbYZ7MVX96zPsWr2V5SUMIj/V5g48JtfuMcNic5ablVXz8AbpfCvk0HObz7CM06NEY2ykE12g0mGYfN6VdpKsuyTyvA3z+e5dNWEDxnGEU5xUH3YY08/gaybNoa7MV2vzFGkwElwHmBkESlqavHUNwKD/Z+jr8nLsVe4sBe4uDviUt5sPdzQXuu6gRHN+xnEMu2HwjoOdmdLuas3R3gjoppnBCDMYBYlgaMGNaD0SMvokvzBn6eosVk4LqBXSgKcsjqdCvc+d7PXP7yt7w1cT6Z+cU0atOQ+r1bQg5++sMAACAASURBVPn9a1rAsn4ATVSrL3O1MBgN3kPHn9/5g8yyOPw/gcPmJPNwNpPSvuC73R/z/qJXsUZasEZYMJoNmKxGhBABFRptxXZeuepd7KUOZn+9gNwjQeR/K3j5Kl+YFBkdFjC7RgjBoOv7YC6X6y8EmK0mbnn5Wr/xgVg5Yx25R/N83rbcLoW8jHy95V010A37GYRRkgP/HRVgrEbHnKv6d8J4QhjAIEs0iK1DdkEJoycvYOehTBrE1iGuThhCQITVxG3n9eCBy/rSuVli0Lk37T/CwYw8flu6hWtf/5GjuUX0btfEp8AJWcJdL9LPgB+LuddOjyFfjGYjQ2/u703dW/zrClyO6lWdCklgCBIzD5RNcwxbkR00jcRm9ejYry2TDn/B/R/fwR1v3sirU59GVJBWeGhnOjc3u5eP7x+PyxHY842pFx1wfUmWuO6py7x/Hn774IAxf0mWeGjsSB798m4at0siMjaC7sO68uHS12nSPjno3spzYGvgFFBbsZ0DWw+FNIfOcXTDfgbRp0MTb4ijPGaDgQt7ta3yfPViIvnswStpXC8Go0HGKEv0bJ1Mm+S6PDl+JoeyCrA73aTlFFJY6uCN289n0Xv3MvLCs5EkwaNXDSDMbESuIB6vqBqlDiff/LWaK/p1JCbC6vMQKu7dFM0goZV1+tEMEprFSOGwNqgBpGxPhuONNQRhkVbMVhOd+rflng9HeMdYwgMfjlaGkARtz24V0ONNatWAx7++L6j8ryRLhJeL3YdFWjnv1oFc+chFtOvdKuhbDXhCHPmZhQGFvyRZwhJm5pkfH+Tsi7p70z2FJDBajNw3ZgRR8XW84/MzC/xTNAU8Ov5uTGYj517fl/FbP+C37G94889nad65SUU/yQm/QWJAUTZruIWkVsEdBJ3A6B2UzjAWbd7H0+P/RBKgap5DzDvO78VdF/Q6qXlzC0sxGWVSM/O5edRPAcMg9WIimPXmXWiaxo7UDDLyijmSW8j8DXvYsDe9wvkb/Z+98w6Tosr68HurquPkAAw556xIEFFAMipm0BUVUVddc1p1jZ8YVl1115xW1wgmzCKKYERBlKzkHCfHjlX3+6OaYXq6eqZnGJBQ7/P44FRXuF0Dp26d+zu/0zidD+6ZQlGZj9e+WsTcxWvRS/2E5q0mr2kSWr4PtbCCcKNkgp0aITUFNbec9A+WxZxrz9g0h0rXgR1Z+ePqhDTjQhGcecPJnHzZKDat2Erzjjm07Nw8ap9ZL8/lyateislV14SqKXQ7tgveFDc/fxor2XR6nLy47FHWLdnIg5P/EyWZdHldTPjbaKbcdy4fPTWLvK35nHjeENr33tsx6F8XP8PsV+fVqQsSwNiLT+TM60+mVZfmSClZ9OVSfpj5M+5kN6MuGErbHq0q95VScn77K9m5MXoxVAg47oyB3Pn2DXW6dnVCwRAXdLyK/O2Flb8rRVXIbJrB/9Y8gdPVsA/xQ5VEOyjZgf0wpLjcz7wl6wiEwhzXow3NshLo15kgD82Yy/R5sTpxMFMjH0+bylVPzmRrbhGhyD9QQe358H6dWvD8dWdZfnby7S+xLd9CHRHWSX9nCWqJ3zy/ABSFiv4t8XdvivfHDRydlsbwc4/jyav/m1BS3pPs5t3c/8YNJIZh8Phfn2POG9+hOjQMXbfUroOZe87MSeeMG05mwt/GcPWg21i3eGPMft5UDw98/g+6DerMZy9+xYu3vIG/IoCiKJxyxSiOOrEn/zjpwaiHU7dBnXj8+2kIIQgGQjxy0dPMrUNBEcAX4RkJV4eW5Jcysfmlls6RKZnJvJ/3cp2ubUXetnz+ffkLLJz1GwD9Rvfh2mcvtd0kq2C3xjuCSUtyM+HY7vvl3L4aXA2FEEy67zXKqumZa4unbqfGBSPj/111x5utSTDcGqJCwd+1CThVAh0aVapqKo5ty+4NxTTv2Ay315VQGb8e1tm1aTcOp4O8bQV06tcOp2uvZl1RFK5/4XLOufV0fv95DVlNM/jwqc/5+dNfo9IdLq+TB7+4gx6Du1Ru6ze6N5t/3xqT69bDBm17mrPjcRePYPSUYZTkl5Gc7kXVVMZ5zo1541g5fzWv3DmDKfdOwulycNsb19Dr+K48fe3LcXPp1ala1LV1zQ52bdxN256tyMzJqNxekl9K7tZ8spplxHZkipCcnpTQ9Woju3kW9350C3qk9kFNoMuVjTV2YLepEyOO6sRnP/9eORuviiFlTFCvDbdT45rThjC4h5laWLp+Bx//tIKdhaUoQtA4LZkuLRuzaVdhlJ4eAIdK+TEt0TO84HUSE3lUhZIeOeRtrb1xxx6C/hCX9rxhrzpDwLipJ3Ld85dF7de0XROatmsCQJcBHXj8suf55u35CAFJaV6ufGJqVFAHOOO6k5n9yjxKC8srZ75ur4sL7p2EJ9mzd9iqWmlj8O178+Majn38zBdMuXdS5c8jJp/AS7e+mVBg7zG4C0IIyksquOvUh/jj5zVoTo2gP8ToKcO47NHzefyyF/j27R/RnBp6SKdp+xy2r90ZNWt3eV2ccd34Wq9XF+yAvu/Ygd2mTgzq2ooBXVsxf+UmS416bTTLTKVxRjKdmmezo7CM39Zu5ckPf+D3zbvISk2yNBhTBHELYPQWGebiYZzpZLE06Ny/Q53kiVEFThI+e3EOOe2acM4tp7Fz425euvUNfpm9BG+Kh1OvGsvp147n7/+7iqufvoTy4goyc9ItUxwZjdN4bvEjzHj4QxbOWkxmTjpnXn8yA8YdRUWpj+/f/5mS/FL6DO9Bhz7mg64ktzTuOKurc9xeFw99daep/Y5j46s5NVxeJ9e9YD6oHr3kWVbOX00oEKqsHP3y1W/YtHILqxeuI+gPVb6J7Nq4m2YdmrBz/W4cLgfBQIjRU4Zy8uWjE763NgcGO8duE4NhSISIflUHWLMtj5tf+KSywMihKnjdTvKKyxM+970XjmHMMZ2ZNO11Nu8utJz5NzROTUUEwjgXb8OxaDNCmq6RSaneuKZe1fGmenhl9RNc3P1aygrLK20VXF4nx585iJtfubLe41v502puHTMNaUhCwTCKqjBw/FHc9ta1VJT4OD1riuVxA046mmkf3RK1rWBnIX9pc4VlYE9K83L2Tacw7pIRpDdKw1fu54zsKdYz/DgLI03bNeafs+9k16ZcWndvGWWQZrP/sXPsNnVm484C7ntzDr+u2QoCslKTuPKUwZw0sBuBUJhLHn2bkipqkFDEj10RwlJmacXqLbk4HSo7CkoOSFAHsyAKVRDo2xxv4ySary5k+IRjGDNlOFf0u7nGHqB78JcH+OjpWfjKAlFeOYGKIPPe/pEL751E4ypmWYmi6zp3n/YQFSW+qO3fvvsTi768iCufnMopfxvNR099EfW5w+Xgxhej00MAFaV+NIdqGdhTs1I497Yzor5TXOL8OotyS6PSUDYHJ3ZgtwGgsMzHBQ9Pp3RP4JaQV1zOPa/P5qffNzG4R9vYHDegCAEKCZtbvTn3N5hLTGPrA4IiqGiZwdqWGZQ5g/QkTNP2OWxcsaXWYqesZhms+P4Py+Ikp0tjw7LN9Qrsaxatxx9HOlleXMHjf32O26dfT59hPXn1rumU5Jdx9KjeXPbYhaRmxLYjbNquMe4kd0zQ1pwax044JmpbeqNUsppmxkgYFUXgcDstJZ3dBnas61e0+ROwC5RsAPjgh+X4LV7JpYSvF69lxaadld2SqhIM6wzq1hq3UyPJ7YyuHLVANwx0wzhgdgBWSGBHQSk3Pvsxva4fA24Nw6GYdsFYT1avefoSWnZtgWpRwRsO6eRUcVGsC4ZuIGp4rAQqgrx69wyGnD6AF5Y9xoztL3DzK1daBnUwFx5vfOlyXF5nZTGUy+Mko3Ea59wa3SFJCMF1L1yGy+uq3Nfh0khKT+LK/0zB5XVWLl0oqoI72c2lD59fr+9pc2CxZ+xHMFJKdEOiqQqrtuwmZGGxC2YDDV03cKhqzKzd43Jw9gl9eHDqeJZt2EGyx8m3S9fx/Gf1MOM6wPhDYb7dspOy8/vDmt0o5UHC2Uk4txbjXrkToRtkNc3gmmcvZcD4o2neqRmzX54bZZHrcGl0Oro9rbslVjpfnc7HdKjVmnfnxsQcLvcwYPzRPLXgQT58chY7Nuyi74m9GH/JiSSlxcoSjzqxJ08teIB3H/2Erau303NIV069aiyZORm06taSt+5/ny2rt9P5mA6cd/sZMQVbNgcn9uLpYcr2/BJWb82lWVYqnVpEzyZDYZ0nP/yBd79dij8Yon2zLPq0b8YHP6wgbJEicTk0bp44lNm/rGbJuu34I257LodG55aNeOjik/jflwv5dtl6Ujwupow+hgemf02RhRPgwYiqQPUsk9flYNqUsQztbboT6oaBIgTLv/+DRy95pjLYDj71GK577q+WQTNRfp2zjDtPeTDGz3wPLTo1w1/hp2BHEc3aN+GShyZz7CnHWO5rc3hjV54eoeiGwT2vfcnsX1bh0FR0w6B90yyevOp00iI+J3e8/Dlf/baGQBVZn8uhoqkq5f7Y4OJ2aow5pgu/rtmKYUjCuoHH5eCkAV3p0Dyb2/77ecxx3Vs3Yc22PMv0zcGIU1Mrx+rUVDo2z+blmyaxYuNOHpj+NWu25uJ2OThjSE+umnAc/lIfTrcDlyfW36Q+FO4q4okrX+LHjxZG6dY1h4pQlKjcvsvj5I53bmDAuKMa5NoNgWEYbFqxBUVVaNW1RYyiyqZhOKCBXQgxBvg3oAIvSikfrGl/O7DvP96Y8ytPffRDlBbcoSoM6t6Gxy+fQEFJBeP+8WJMwFWE4LgebckvKWfFpl0AqKqC1+lASokv4vEOZqCfcGwPvvp1NcVlPsJxNOI92+awbMPO/fI9k1wOyuvpsmhFu5wMiisCFJRWIIQgzevm3OF9eWnWgqh76XJoDOvdnvunjmuwa1dl7vQfeO2et8nbVkDbXq3YuHxLjGIGoF2v1jy3+JEGu24wEOK3OcsIVAToM6xHlI97bSz//nfunfgYFaUVICG9URp3vX9jpRbfpuE4YIFdCKECq4GRwFZgIXCOlHJlvGPswF4/pAxDYC6E14LWHlzDECK63P6UO/7L1rzimGMdmsrXD1/Guu35XPnE+5RZzMw7Ns9mxu2TCek6yzfsRBGCWb/8wXvfLbNUxNSG16lREadQZl9JxH+mLiR7nIR1IyqIK4ow+39Wu5BTU/lk2lSy9yH9kgi+Mh+nZV6IbmHu5fK6+KTs9Qa5zsr5q/jH+AcwDLMloB7SufThyUz429hajy3OK2Fyu7/hq5Z2S05P4q2tz+H2NswbjY1JooG9IVQx/YG1Usr1UsogMB2Y0ADnPeSQ+naM0v9gFN+G9H2CeTsa4LyBHzHyzkTu6oksuhpZ9jiy+O/IvNFIPS9qX6tUCpiBMBAM06pxumV6RFUEXVs1BsChqvTt0Jze7ZuxcNXWegV1YL8FdWj4JhtlvmBMxathxAZ1AKdDZWteUQOPIBaX14U31brVXkPpyIOBELeNv5+yonIqSnz4Sv0E/SFeuPl11v62odbjv37ze8vuSXpYr183K5sGoSECe3OgqhP+1si2IwoZ+BGZOxbKnwPfu8ji25H5ZyGNin06r+GbhSy8DMJLAT3ynwRZDvpOZMn/Re1/XI+2lv7nTTKSyUjxkJ7s4ZRju+N2RguinJrGlNH9LY870Bzs2dlgSKdVo4zad6zG0m9XcscpD3JZ35t4/uZXKdgZp6NRBEVRmHzXWTGzXpfXydT7z03omou+XMIlvW5gtGMiE5tfyodPfR7V/3bR7CVIixqEUDDMrJe/rvX8BTsKCVos+oaCYQp37f+Hn401DRHYrf4dxvxNEUJcKoT4RQjxS25u3eRbBztS6sjiGwAfsCfvWwHh9ciK12o4sqZzSozgcii5E4inLglDILpR9d8mDCYtyYMrIqHTVAW3U+POyaMqF7T+PnEYU8f0JzPFg0NV6NuhGS/ecBatm8QGq/NH9ot5CKiKYhYm7Sf+TI17bbidGuMGdCUzzkw6Hl/8by63jbuPnz5ZxLolG/ngP59zae8byY/Xri7CqVeO5dJHJpOZkw4Ccto25u//u4qBJx1d6zWXffc7d536EBuXb8bQDQp2FPLiLW8w/cGZlfv4yvxIiztu6AblxbVPSnqd0A13cmzzEc2h0nNI3Zu72DQMDZFjHwTcLaUcHfn5VgAp5QPxjjnccuwytApZMBGkxT8ErRNK9id1O194M7LwIjByQcYunFW7AKLJiigVQnG5n/e+W8qva7fRunEGk4b1oWWj9DqNoSrvf7+Mx977FilNRczRnVpQ7guyemtupfTxSOGSsf259KRBcU3JrAgFQ5zV5OKYQKk6VMZfOpKrnpia0HmklHVSm1w/9C6WfRu71OVN8fBu7ks4nA4KdxVxXtsrYmwV3Mlubn3t6phq1eoYhsGNw+5m9aJ1lb70bq+Lo0b24p6ZNyc8VpvEOJBeMQuBjkKItsA2YBKQ2Hvi4YJwgYyThxZ1a6UmpUQWTgF9G2YdZE2okQXU6H/saUluLhrTn4uqbCsp9zPtza/4ccVGwrpB3w7NueHME+jQvPYy+NOP68lJA7qyaXcRGckestOSCIbCvD7nV97/fhlCCFyayvqdBXX6rocaSW4nvTs0r1NQB9i6eoelhYIe0vnlC+umJVbUVUK4eaV1r1A9rFOcW0J28ywymqRzwf9N4tW7ZxD0h5CGxJ3koudxXRhwUu1ySkVReHD2HXz63Gy+fPUbFFVl7NThjJk6vE5jtWlY9jmwSynDQogrgS8w5Y7/lVKu2OeRHUIIrQ1SbQ76eqISCcKD8NTxGRdaCkY+tQd1FyiZiNS74u4hQ6uRZY+zccd6zn1mJMHw3oD08x+bueCht5h+++SEZvNOh0bHKg+Bb5et54XPfkYRAgmEdR2HqhwwY6/9haoIklxOSnyxPim6btQa1EO6TiAYJsntrAzEadkphIPWev7MnPq/SdVGi87NKM5bFbNdqAppjfb2Mj37xlPodXxXPn/paypKfRx/5iCOndAvYV90p8vBaVeP57SrG9aX3ab+NIilgJTyM+CzhjjXoYrIeBpZcJ6ZjpEGYIBrDHhOrfXYKGQR8Zc+BOAEx9HgPQvhHokQTss996aHfNz53mkEw7GzPV8wzMuzFnLn5JF1GmJhmY87XvmCgEUaRlMVXA4NKSWKIqjwBWt9RB1MKIrg6tOOY9qbc2I+84fCtLFYhwAIhsI8+u63fDh/OWFd0iQjmVsnDWdwj7Zk5mTQ8/iuLP1mZZTrotvr4uyb9p+A7ML/m8TtJz0QVdHq8ro4+8ZTcDijZbJd+nekS3/b4OtwwTYBayCE1hbRaB4i7VFE6u2I7A9Q0v+JEHW8xY4+IOMU3rjPQDRZhJL1CopnfNygDiBLHwXpwxdU+WNHI+JpTZZvrHsB0bzFa4m3xCmE4Kazh/LEladx/oh+CAuFzsFMKGywNa/IUlnkUBW+/m2t5XH3vPYlH85fQSCkoxsG2/NLuOn5T1gRub+3T7+O7sd2xul24E314PI4Oe+usxh0cq3p0nrTZ1gP7njnBpp3agqYtr0X3HM2591x5n67ps3BgW0C1oAI4QD3sHofL/VtyJL72KusqYb/S0j7P+vPqhNaDEiEMP+LJzVpk1N32V4wrEfZEVQlrOssXbedFI+Lrq0aW+rA/yxEpBOTbhg1jmvlpt2RjkzRO4UNgzJ/bIqmsLSCOb+tiakPCITC/HfWAv512SmkZCTzyNd3s2tTLvk7Cmnbo2VUO7z9xYBxRzFg3FEYhpFw42qbQx87sB8kSKMEmXc6yGLi5tdFGEK/gTMBAyg1B8KFuB06/dtuY/66llSftatCcNGYWO16bbRsHD8vLCV88OMKvli0mkAozJ/hRRQPKYlUV9a83+bdhZat9FwOjUHd2sRs31FQiqOK10zl9YCNu6LljE1aN6JJ6/pZ/O4LdlA/srB/2wcJ0vdeRNpYU0ZagEzMVEskXwHCnBHeNWEuTdNK0ZRIcRNmWfwjl51Ml5aN6zzWklpcGw0pKfcHCet/ru96dZyaisPCT706OwvLYjpCeZwOhvXuQPfWsRWfrRqnE7awPFYVQY82OfUfsI1NPbFn7AcIKYPIsv9AxTuAH5zHI1JvQaiRIt3QUuIXIlXBmZijn3CPRuq7oexxslPDzLz6PX7acgZbSkfQLmsV/VsvQmhlyPA5CK1uZk37O1yriqhXo+yaUISgRaM0tuTWvRqyXU4mf5swmKG921tKDpM9LiYN68uMeYujbAlUReHM43vt07htbOqDHdgPELLwcgguACI52sCXyLwF0Gg2QkkDrQvw1d7Po9AADZH+WI0LptUR3rORakswitBcQxmSoyDzTwc9F4I+CGrIiumQ8STCdXzt30FKdheVkZXiRVMF4QTb4dWVhg7qTk3lknEDOXd4X+763xd8t3yDpaInHr5giGF9OtS4z9WnHkfTzBSe+vAHSn1Bsxk4cOlj73LvhaMZcVSnffwWNjaJYwf2A4AMrYbgQqKDtgHSh6x4G5F8CcJ7FrL8eZBB9i7aaaCkg+cihPcUhJp42kQG5iELrzWvgwEIpNoV9O1IGearle2ZuagrIV1lfJ9nOWnkIJyaw/Jc5f4gv67ZykMz5pJXUo5uSByahjTC6AdRDj0eQ3q2Y+pYcy3hvovG8uSHP/Ded0vxBUO0bpzBtvxiQhYOintIpFG3EIKebZtWnkdKCERy7ne88gX9O7ciNaluxWo2NvXFDuwHgvBqEKqFMsUfScGAUDIhaway+A5zgRQV3GMg5U4UNa1Ol5N6HrLwKmJm/7pZ5fh/Hw3lqxUd8IXMQP77jkbMXjWdp68+D6WKzK+wzMedr8zi5z82xzg8GoaBpqpRbeIORjwuB6cM6lb5s0NTue6M4zmxb0euevJ9covLawzqAOMHJOZ58vmCP+I6Z367fD0nDehmcZSNTcNjL54eCLRWcSwHnKDtfUUXWgeUrLcQTZZD5pugb4Lc/hi7jsIoeQQZT99eHf+ngLV979rdmcxevjeoA/hDDpZtLGL+75sqt0kpueLf71kGdQBDRrrZawfXXyGBadSlRszPRh3dieN6RK8hBENhrnpyJqW+YFyb46p0bJaYikWX0tJQS2JaANvYHCjsGfuBQOsJWkcI/06URl04Ed5Jsfvrm6Hw/L0GYLIMKl5F6jsh/eFaPUOkUUA84fqijc2QFsVKvkCYB9+aQ5LbSf8urejfpRWbc4tq9GI3DInH6SQUPjh6m7qdGlecMhiXZrb4G9ittaXqZ/7vmxJKr+zhvje/Ys7iNZw5pBeaqvDr2m1kpXgZcXQnUqq0xht5VEdmfr8sxtdd1w2O6253E7I5cNiB/QAghIDMl5Eld4F/FhAGkQlJF5s59GrI8hcjufaq+CHwEXLXp0jXCYjUuxFqHCmdoz/wjOVHaR4/mmJYzue35ZcAsGFngWnuVcv3CoZ1DEPidTmoaMA2dYkihKjUybscKk0zUzlzSC/cTo1gKMx3yzewfMMOjurYgnZNsyqP8wVCddLXl/mDfPXrGr7+bQ2KomAYEpdD49H3vuXpq0+nZ1uzsrNP++acemwPPvhxOYFQGFVRUBXBjWcNrbPNr43NvmAH9gOFvhGMUsyFTBVkAZQ9ifR/DJlvIZQq//CDyzEbalieCAJzkfnLodFXiGrukTK81czni1SQJTFHD+2ykQc/rVkBE9INDGmVVIglbBgQMn1hDny6QdKjbQ7BYJiR/ToxaWhf3E6NNdvyuPSxdwjpRmV3n1FHd+KuyaNQFMExnVvWqyuUIU2fcjCVMgA3Pf8Jn913ceXaxM0Th3HSwK7MXbIOl6Yxql9nWtVQ0GVjsz+wA3sCyMDPyNIHIbwGlGxIvgLhOSthG1WjfDqU3keslHFPM47/IZIvR4a3IItvAj3Wka/aiMAoBP/n4DnN3GJUIIuugeBPIJwg/Zi/3j2qGBO3I8zT53/M9W+NpSLoQAC+kANDRn8X3ZC4nRq6IQnVskAaNiQDu7bip983J3A3aqYuvUydqsq0C8dGBU4pJdc98yHF5dHpoa9+XcPArq0Z278LWalJXHHysTz7yfx99pMv9QVYun47nVs1xhMx1urWOodure3CJJs/j31utFEfDqVGGzK4CFkwhejiIQ8kX42SXHuDBGmUIXcfS43FR2pHRPZMZO6wBC17I7jGo2Q8hgx8iyy62XwLiMINrqGmvQASQpshvARkKYbUWLmjNaXKX7n+xbVx7XYdqlJZQaoIc9ZqxfVnDOGLX1azYtOuWoetqQpnDOnFio07WLM1D4TAMAwG92xLj1ZNeHHWgpg8tRWKEDTLTqVFdjpTRh/DMZ1bsmZbHhc+NL1yRl2Vvh2a89INZ1f+vGzDDq5/9iPyS+rfvlAIcxxCCI7r0Za7Jo8izZY12uwnDmSjjcMaWfY4sUHZB+VPIZPON42/aiL0Kwit5mmocEFgTqQDUx1SBPoWjIr3oeRuizFibgstQ8n4T9RWqe9ElX565rRGCEH/LjNZ8Mdmy+BedVtNc4C0JA/rtufXOmRVUejTrhm/b97F+h0FNMtO48whvRg3oGtlQNyaV8wHP9Zu6W9IydbcYrbmFrN43TZuPedE2jfNIp4tyu6iMt75ZgkDu7WmZaN0erZtyrQpY7numQ8TepBYISURLb/kh+UbuOI/7/H6LefWuSmGjU1DcnBp1Q5GQqutt8swGAl0DBLJ1BzVXaBkIMtngLSqOq3p3G4ofZAa3wYs8uxCzUFobSqDz/0XjU3I00RTFaziVZLLwX9nLUworWFIgyXrd7B0/Q4qAiE27CzgiQ+/Z+7itYR1gzXb8mialWppm1sT/mCYf70zj3ZNs9DiNIjYXVjKo+99y9n3vsq/3/8OgAFdWnH35FE0SkvCEZFIjujbgdZNMiq/VmtKkwAAIABJREFUq6YquB0qTk3F5dAQwtxWnZBusHFnIb9vrv2txcZmf2LP2GtDaw0hi4bDQgHF2vJWyhAE5oG+Bal2MoO7LLfYUwHCEPwu8v9Ws3Uvpia9etB0gXNIZYGTNQpo3ZG+maC2BMfRljPJFK+bUwf34Ld122s4lxm4OjTLYmtecdQMtzwQonx3zU2Z9yCl2WWoKv5gmEfemcfj739LKGxYplGAWhdoQ2Gd3OIyHpg6juuf/QjdMKKKj0K6AZE3kBnfLGZgt9YM6NKKUf06M/LoTpRWBPC4HTgiDwZfIEQwrLNi006SXE56tMlh8frt/LpmK3N+W8vqrbFN2RUFtuWV2Dl2mz8VO7DXgki+xvR5qZ5jd58NgTkYhh/QEWojcA4GIw+ZP9GcKcsgCAcozUDRTV26lEAQHH0jQXnPLN0qqAtQs8AzBcoeMo/DMK+vtYGks6H8yZpGD6FfkSVm8JdKc9b5/0Opz0W31k3wuPamkb78dU1C92NLbjEn9GrHvKXrCMbxZK8PicglFSFqNCALG5I0r5uWXdOZefeFfDx/Jcs27mDBH1tivGH8wTAf/rCcAV1aAaZ0snrJv8flwONycGwVq96jO7bg6I4tcDk0Nu0qjDlvWDfo1OLA2/La2FTFDuy1IFyDkWn/grL7Qd9uzr617uB7A+l7nT0zaYkHhBeUVDB27D2BDJkFR55JCPcIkCVIRx8oex5CtS0gS9C3QvAbSL3HnNkHF5kpIH0jlEwD92jwzyb6wSNAaR0ZRwBkkB1FyVz9xtHsLP4AVXUTNgyuP+MEzjy+F1JKFq6ybnxcnUAozNwla2stw98feFwOKvxBS5Mwp6ZyfM92lcG5SUYKF48bwLfL1vPrmm1YPTeqvznsIb+knI27CmnZKJ3G6cmW+5x6bA9e/XIRYV2vHI/LoTG4extax2mfZ2NzoLADewIonpHgGWla7wYWQtEVxHY58pkzct1qATEI/k/Aexay5DEILcHMuyeiSJJmYA/+ZEotjTzz2hLwfwwooDSOqGk0U8OefC2UP8+etwEp4ao3TmJTfhpSKhAyy5Mefe8bOjTPolfbZgTDiS8e1jeoC8DhMNMcVWf7QtS8MLuHEX068PuWXDbuKkDXDUK6gTPir35s9zbcc8HomGP6dWyBbsSO1+N0MOaYLlHbdMNg2htf8fmCP3A6VIIhneN7tmPalDE4HdH/VFKT3Lx52194Yub3fLd8PR6ngzOP78X5o/Zfqzsbm0SxA3sdEMKJ9L0F+Op+sAwhC84x7QHqRQCMbRbbDTB2mU010p5EuPojhBOj7InKPVZsb8TmPUG9Cv5gmFe/XMSjlzWnR5sclm1IrP9p08wUdhSU1mn0AujUohHTpoxhxaZd/Pv9bympCOByaPRq14zf1m6r0UpXCDh/1DG0bpLBxp0FFJX7aN04g9zicrJSvWSlJlke53U7ufO8kdzz2peVs2uHptKrXQ7Dekdb8b48ayFf/LKKYFivNPP6bvkGHn//O26eGNvysHF6MvdOGVOn+2BjcyA47FUxUoaRRgFS7lshSiVG3QJaJUq2hU1AQyHNgiT/++ZPvo/N60V+vbOWdYwpQNrDN0vX8fRHP3LLpOF4XQ5qE6O4HRo3TxzGgC4t6zpCNu0qZFt+CQ5VxZDgUFVCuoHHpZGe7Inb3UgAfz97WGWKo01OJn3aNycjxUunFo3iBvU9jDmmCw9MHYuqKKayB1i8bjsPzZgbZS0wvVqjDDBTTzN/WG6beNkcUhy2M3YpJbL8BSh/NrKI6UQmXY5IurhOGmMpDQivMOWNjp7gHhdpFF3HWbuxiTpp1OuMAcFfkHljzbSM3Ft0k1/moXq/0z1ICa/PWUTbnEzevuN8rvj3e2yO02WoRXYat517IgO7tqZv++Zc8PB0dhaUEAjpeJwaLqfGgC6tWbp+O7ss2sv5Q2EeeXseecXlUdLIH5Zv5JjOLenUogvzlqwjxetiTL/OFJb5SPa4OG1wD5KrmG3V+c4Ykvvf/DrGUvfjn1YwsFtrhvZuD0CZz1puGgzr6IaBotTeVs/G5mDg8A3sFa9B2VNUBmAZNL1ZhAeRdF5i5wgtMxUxlVJFDdIeBkdHCK3CuttRPA7EYqMOeh7VpZFnHrOKL1fE7+BjpmR+4a3+53HWCb156qMfYmauLofG41dMqDTTSk1y884d5/P98g2s3ppLi0ZpDO/TEbdTo9QX4MSbnsWw6LC0vaAkZvYbDOssXLWFu88fxVWnHlfP7x6f5Rt3UhGIfVvyBcO8993SysDep30zFlgsIndolpVQr1Qbm4OFwzawU/4ssbNqH5Q/AwkEdmlUIAsuBFkt9VJ0DWR/iggtMhdCZc3a7wOHG4wKYvXu4HX4MZMh8d9UCsvMe3XKsd15ZfZCQuFotcfArq2jHBLBLNIZ2rt9ZWDcQ5LLSZLbGePXQg0jcGgqecXllmmVhau28Oh737B+RwHZqUlcMm4AE47tTn5JBf969xu+WboORQhG9+vMtWccH2WlC6b6Jd5bWtW8/g1nDWXKw9MJhMLohkRVBA5N5dZzhscZtY3Nwcnhm2M34pS3x9tencDXWM+ydfB/jvBMAO85QPWZnAocCK8QATgBl2kBnHqvaU1gQeus2hs47y4q48JIauXNW//C2P5dSfO6aZyezEVjjuGhS8cnPDJFEVx20iDczth5Q7x+prph0KpxrEzwt7XbuOapD1i1JZdQWGdHQQkPvT2XV2b/wvn/fIuvfl2NPximIhDik59WMvWRGTFvBD3jVNW6nRrjqnRH6tg8mxm3T+b043rSrXUTxg/oyuu3nEuf9s0T/u42NgcDh++MXW1tar1jtreJ2SSlRFa8CuUvmq6Jju7g6GNq0GMI7n04+F4n1l5Xx3wguKmx1H+fcUPaNISzPyjZCKFihH+Hitep3j3J6wrTJquIjfk166uXrt/BxGmvM3VMf+74ywgcF9Q9/bAlt4hdhaWM7tcZt0PjmU/ms7uoZiWQ26lxybgBuBwa81duYt32PFo2Tmdw97Y8+eEPMVYF/mCY5z+djyKUqAdFSDfYnl/CglWbGdi1deV2p0Nj2oVjuOWlzzAMI7Jg66B7JHhXpXl2Greec2Kdv7eNzcHEYRvYRcqtpo1tVHB1I1JvidlXlv4LKl7du2/oNwitjHNiL8J1rPn/cRUy0pzN+6YDIuIBY5C4IW0iBBFKJkJtgpQ+pG+2+SBSMsEowkzJ7A2Ilw1fwB3vn0hIr/1X/tKsBbw2ZxGj+3VmzdY8tueX0KFZFueNOIp+nVpaLmSW+gLc8OxHLNuwE4emEAzpTBzah/RkN7nF5ZaNLQTQLDuVq08dwsBurTnn/tfZlmc2lnZoCpkpXvJLrawYTPsAQ8YWGIXCBmu350cFdoATerfnvbvO56P5KyksreDY7m04rkdb1HiOYTY2hzCHtW2vDPxgujOGN4DWFpF83d6gvGcfoxy5ewCWPUJFDshi9ubqPeDsg8h4GSEUjN3DwdhqcWUB3gvMalOhIoUH8k8HY3fDfkGlhanSqXgbKCE6daRS9W3CkFBU4SbJGWJdbgZvzO/Nr5uakluaUqdLaqrCCb3acdfkUVEB/vpnP+KHFRujvNudmoqUMq4lcJLbyb0XjmFo7/bc98ZXfDR/RdS+NXmzOzQVTVFifGW8LgcPTB3HkJ7t6vS9bGwOBRK17T2spyvCNRgl6x2UJr+gZL0TE9QBpL6VeI2fIYhIuw8cA8HRD5F6OyLjRYRQkOEtZmGQJRIq3oL8CcjS+xBKCrhPa6ivtRdjK1S8ABQRux4QPZtVBGQm+XE5dLo1y2Pa6XN44cIPcGl1a2kX1g2+WbqeSx57p3LhsdQXiAnqYKpd4gV1MGWIe7xaZv2yKmbfeEFdAOedeBQelwOlyqKopipkpSZxbPc2dfpONjaHG4d1YE8Io6aFRQPhOQkl61WUrDcR3rMq/ddl+XPEb18HphQyAIH5yJL7EM7eppdMg1O/Ny4hoFlGGapS9+PDusGqLbkMv/FZfvp9E+W+YFSATQRVEfzzkvGVRmR1aS4tFMHfThnMq3+fxICurVAUgaooHN+zHS/fONFOr9gc8Ry2OfZEEcKFRMNKJojaNGaTlD7wzwF/PNVMdQLg+xCZcgeorSC8jlifmT8HRcDlwxfw1JwB+EO1NAyxwBcMcf2zH/HptItJ8bhiLAFUReB2OgiEwpU9RgWmmdc7d5xP06zUyn2H9mrP7F9XV/YorYmcjBQURdAsK42nrjod3TAQiMq+ozY2Rzr21MbRA4RVSboT4Z0ctUWGliJ3H4csucOiDV1NBBFCIjLfhKSLQMnhwEgia+ecAcu4a8LXZCXVrz2cYUhmL1rFP/5yIm6HVjlzd6gKyR4XL1x/FsN6t0dVFBQhGNC1FTNunxwV1AFuOPMEGqcl4Y3M4D1OBx6nA1c18y23U+PS8QOjtqmKYgd1G5sq7NPiqRDiLOBuoCvQX0qZ0IrowdbzVAZ+RBZdDtIAAmbKxHEUIuN5hDADi5QGMncIGLHNFWonCdTGgA7uU8AzHvJOxvItocFwUJc3g7JgU4Y+cGq9rqQIQXaqlzY5maiqQmlFgH6dWnLu8L5kp5kPTcOQSGSNaZJgKMyc39ayautu2uRkMuqoTsz4ZjEvf7EwYlvg4PKTBzFxaJ96jdPG5lAn0cXTfQ3sXTHzEc8BNx6owC6NcmT5M+D7EBDgmYBIuhyh1D+HLfU88H+MNAoQzoHgPDaqWlEGlyALL4zTCak2qipUXBFJ4o6aDmgA4qSX4iAljHh4CsU+6zeJmhQqVXE7NR68eDzHN6AqRTcMyn1Bkj0ue2Zuc0RzQFQxUsrfpZSr9uUcdb+mjiz4C5S/YqpSjJ1Q/gqy4DzTsKueCDUbkTQFJeUGhGswoCP9X2CUTMMoexFp5FFTSX7NVF1kDdQ/qKudMKtNE6HubwNPT/4Iq/CtqQpNMlIYeVRHXLV4pviDYe5/c46lbl1KyW9rt/HlotVsz4/txRoPVVFITXLbQd3GJkEOqcVTKSXS95mpS4+SKAZAXw/BH8A1JLFzGcXg/8L0R3cORjg6V7mOD5l/LugbIi6JLkDBspMzTsyUxwGoB9DjNNZuAISAVlnFdGmaxx87olu7TTyhN2P7dyWs67TITuPVrxbFtQYA03emqMxHRsreN6hdhaX89fF3ySsuRwhBKKxz8qBu3HbOiXVy27SxsamdWgO7EOIrwMps4x9Syg8TvZAQ4lLgUoBWrVolPMA9SP8cZMndkRy3xcxc+iG0PKHAXplTB9OOl8eRntMQqXcjhECWvwLhtex1b9zzZ0bk2gbmg8UNWlvzz/Bvdf5OBxuaYtAio7gysGuqQt8OzVm6fgfvfrcMTVUIx2knVxWB2eCiKjc9/wnb8oqjHgif/fw7vdo25eRB3Rv0e9jYHOnUGtillCMa4kJSyueB58HMsdfp2OBiZNF11Oi9ItygNktgHEFk0ZVmG7tKQuD7ANzDwXUC+D7G0pJX+iHjBbNNXcU7IAshvKXmcR1CaKrBtaPms2Jba4r9XppkpFBaEWDNtlx0Q1b2DVUVgaoI696jDpUx/TpHqVl2FZayOnKOqviCYabPW2wHdhubBuaQSMXIsmeoOXgKwG02dq6N4II4H/iQFe8hXCeAiHdbJEJtigz/YQZ1QiSuPHFg9ifNjtPibn/iJH517V6EgCapPp6eupY8eSeN0pKYeN/rMQFZN2TMaoPLoSIlHNe9LbdMijbRqgiEUIWCVUFXuX9/dZWysTly2afFUyHEaUKIrcAg4FMhxBcNM6xqWLk0VqKB1hORNR0hEtGG15RKiHzmmQh4qn0mQG1hKloC31LnIiOlqdmXVHhB7VL7/vuEADygdgStJ3VZ9BVCp2XqAo7u1ILCch+aav1XpPpcvVFaMh9Pu4hH/npyjF1v68YZlRWmVXFqKiP6dkx4bDY2NomxTzN2KeVMYGYDjSU+zj7gs2ot54Lsz1G0FnU41wCL8wB4ER5Txy28E5HBHyHwHXsbVBggvGb+vT7qGGOz+adeBHhAtAK5ue7nqQ33OYjUm0wXSqFglD4B4TouukbURZ2aN0I3ElMa7Swsxe2w/uukKIJ7LhjNTc9/TFg3COsGbqdGdmoS54+sVbm1z4R0nec+mc873yylIhCkV7um/H3icDq1aFT7wTY2hyCHhLujDG9C5p8aUajsGa8Hki5CSbmmzteX/jmRnL2BOfN2g3s4Iu1fCLF3hipDK5Flz0aabuxJGbgjx9S+iFgzbsj6AAon17PoyQoB2bNQtLZI/5fI8hch9Dt1XwNQIPlviKS/MeObJfxn5vcxrfKqo6kKZ5/Qm59WbiIjxcN5I47mhF7RnZU27y7knW+Wsj2/mAFdW3HywO6WM/mG5raXPmPuknVRlgdel4MZt0+meXbafr++jU1DcUAKlOpLfQqUZHgtsvRhCC4y0yFJlyA8Z9ZbKif1XeD/BGmUIlzHg6NvzLmkUYbcPYjYhVQn5kNhHypHRTIi83Vk8S0Q/qP+56mK1g8l+02Mknuh4g32rc+qB5IuQCRfx4JVW3h9ziLyispJcjtZvnFnVGNoTTXtAiSSUNi8ptupMXXsAKaO6b9v32kf2VVYyoQ7X45pZK2pCqcf15NbJtlt72wOHRIN7IfE4imA0DogMp5ruPOpTSBpas1JldASEI5Io4yqBEHrBeGV1BrcRbKpla+OLEMWXIBZlRrtnV4/FHCfiOH7DCpe28dzgdkf9llk+Qsc02Qk/S+/G6FksnDVFq575sPKQKkqCmlJbkrK/VG2u/5gmBc/+4mzT+gd04P0QLJpVyFOTY0J7GHd4I/NDeyPb2NzkHDIBPY/BSUV61mvALU56GsjOvh4CHAcC8FvsJZPFkf+RyXxov14GBBeA2UP7cM5rNAh8BUyfxUbwq9zzdMfRKVlFGF6vFj5rjtUlRnzFjP7l1VsyyuhdZMMrjr1OAZ1ax2z7/6iVeOMmKAOpmSzc6vGB2wcNjYHEtvdsSa0HqY8MeY2uRFJk8E9BlPGWANKOjhjG3xEowMaOAbVfr54CC+EV7B/KmDDYOzm+1/fiGmmEdINyvxByzefQCjMi5//zNrt+fiCIf7YstvstLR8w34YozU5mSkc37NdjEukU9M478SjDtg4bGwOJHZgt0CG12EU34LMPw207qbNrvCaaRXckHIDwtkPkfJ3UwIZt4GGBP/bEJxX+0WFG5IuBO/5mBYGdUSkQ3hT3Y9LFBmC8HrLoiS3Q8NRzUNGUxUkEAxFPwgCoTD/nvnd/hunBdOmjOHM43vhdTkQQI82Obxw/Zm0bJR+QMdhY3OgOCRTMVLPRVa8CsFfQGuHSJqC0Do0zLmDS5AF52OqYHQIrwKckHYPQmkEjt4IJRkAoWRA9qcQmIf0fQSBr8xjYmbNCcyiZQihtQTnAKTW2jQ50zckdiyYnaBEmlkdWyv1SPsIDc3VBU0NVTbN2INuSEYc1ZHPF/6BlGahU9ucTNZsy7M81aZdhXW79j7idGjccOYJ3HDmCUgpbW8am8OeQ27GLsNbkXnjoPxlCC0C3/vIvNORgR8b5vwl92A2r94z09TNnyveQrgGVwb1PQihIdwjUDL+A5kzqN8tdYCjO4gkZN5IKHnANDWLCb4KYNUUBBAKeMYRW1hVnRRIuhaUtiSux1dBacbQfufidKhRR7mdGh1bZPP14rXsEVhJCVtyi0h2WztRNkpPttx+ILCDus2RwKEX2MseBVnKXl25DviRJXdYWsXW6dxSRvLUFoSWmu6S1a4hpTTtffPPg+IbMRdC64jSFFLvMx8qRj7mg6UqDlBagWMAEKfTkQyBdzJ4J2GmcuKlh8qg/KmIrUGi90uCvpWmKcv5302TGNitdWWB0ZQxx7BhZ0GMzj0QDNMoPTmmCtXt1Lj8pEEJXtfGxqY+HDI69j0YuwZEfFqq40Q0/hahZO7T2IxdfeM009AwA6EC7tGI1NsRSiZGyT/B92Y1U7G6opp5elmBteyxts8BrTNK9scASKME6XsfSh8n7oOgXmjgHo/wnotw9gVge34JZ/7f/ywLmLJTvUwecTQvzlpAhT9EitfFhGO7oyoKLofGmGM623luG5s6cNjp2CtRUkCPk6MVtaUhEsDzF6h4ldhqzT25cx38s5ChFciMV6DidSyljHVCt9a6V2JEHjbxCo4EuMbv/UlJBSWbWKuufSUM/o+Q/i+QKdeiJF1ERoqHeHOD5tnpTB7Zj7+ceDQVgSCPv/8tM+YtJhAMo6oK/531M3+fOJxTB/do4HHa2BzZHHKpGFM1Uj2AO8F1IqIBArtIuSbiEukCkcLeAqKq0cuU/+F70yxgsjxROijNQW1r/unoS83dj/acv/r5HJjP3xqqSIUX4ewavc3ZnzoblSWEBPxQ+hjSKMDjdHDGkJ6xKReHxl9PMptOK4rgjy27+XzBKvzBMBKzQCgQ0vnnjK8pKtuXtx0bG5vqHHKBXXjPA88EwLlXfug8CpF2X8OcXzhQ0h9GNPoakfE8eCZhmf6QQTDKiJ+ndiJSb0Zkz0JpPBcla4bp9V7T4qbwgNo6so/TTL9obUCpyawqYgXsPG7v0PSdyLLHI/bD+2mxUGgQXAjAtacfz8ShffA4HWiqQqO0JO4+fxQDu+4tRJr9y2r8wdgHjaoo/Lhy4/4Zo43NEcohl4oRQkGk/R8y+SrTtVBtjtDa1Pt8Ut+JrHgHjG1mE2v3WIRwIdRGoDYCfQvSPzOS3646ECe4jjerSnUfMTNquRtZdAt4fkak3W0ekv4fZMW7UPZYZJ2g6kPBBY5+EFpBZas9x2BI/zeU3g++6XFuSDIi8y2EMBdtpVFo6u+NYvbaHaigNDaDv/8j9qaOHJF96rnOIkx1i6YqXHPaEP52ymB8wRDJbiehsM68JesoLvdzTOcWqKowu1NVz9sIM7jb2Ng0HIdcYN9DZeDdB2RwIbLwYpA6EET6Z0HZc5D1zl5Zo3sMlP4r4hezZ+augZJjmodp/0MWXhbxjK8+I/WB7z1k0kUIrRVCqIikiUjvKcjCyyH4qznzlWHQOkLwZ6Ly9cH5UHKn2Zs17pcoBSVj748Vb0TeJKouZupg5CNSrgLvacjyl0DfYbYRdI2Esocj164LrogFcuS6UkcV5SS7k1m1NZfL//0eYd3AMCS6NBjepwMOTSFQrWDJ0CWDu7ep47VtbGxq4pAN7PuKlBJZdH20mkVWgL4VWf4iIuVaALN5R9a7yJJpEftexZzVp95mzpK1lohGn2IUXhEpUKqGUJHBhWYA1reC1gWhtUZkvoIMr4XwOtDaR/Tz1Rdh/eD/BISrhkl1pDPTHoILLc6D+YYR/gPhGopwVltUz3wNwyiCvFPA2FnTbYucKxWR+V+E0Mz7WP4MlL9oPvxEMp9/04/i8uiCsW+WrGNY7w7MXbIWAEUIDAn3Tx1L8p9oEmZjczhyxAZ29M2RdEV1AuD/DCKBHUwnSJHxRMyeUvohMM+s+lSyMW9nNdmfBMqfQxq7ABVkCOkajkj/l1ktG6mYleF4TTcU4spOUMAzIbroRm0D/ETMk0D6kCInbsZdUdIx3CdDxQtx9sAcv5ID2bMRirnIK8ufh/Ln9j4gZSGXHj+XXUWS2Sv2dkfyBcNUBEK8c8f5fL9iI26HxtDe7UlPbgAlk42NTRRHbnJTuIg7DRa1zyBlaCly92Bk8a3IkgfA936c8/nNmbr0RSSNAQjMNZtgVMXRG+tfRw2WviIL9J0YJffvfTC4TogzDh3KHsIoewlpFFmfL7zeejsATvCcisj+AGVPUJcGlD8fo+H3OMP8dejCmDP4giFaNEpn0tA+nDq4hx3UbWz2E0dsYBdqTmS2XP0WeMBzbo3HSqmbeXVZGtGX+zArYRViVShWDTn8UPFW9HhSrjaNwKKO90DyVZB6L2Y1qSPyuQNwmtcPfgcVryPzxprFUuHfiVv9Gvweyv6NzB0V84Ygg0sg+EOcb5yEaPwTStoDCKVqx6FA7KJyhMap0UVeHqfG2P77u9erjY0NHMGBHUyVCkpjEEmYEkMXuE9EeM+u+cDQkjiVpiESlhdWC4hC64DInA7OIaaZl9oBkTYNJflihLMnuE8GtT04h4FzMOYDY08RVdi8dsV/oewparY18IMsieT0qwzH9zZ7bRqqkXxNjEeOiRuULMtDNuWnoymmUsjjFHRt1YTx/bta7mtjY9OwHLk5djDdFBvNheCPoO8CZ5/EXCJlkPgBPJF2dCq4hsaOx9EFkRmdojF8s6D4ZszgHTbXBghi3blJxtluMcZgNdO0eJWtIgmhNbU8ixACmXwTlNxB9UrdDK+PvwxaTGGFhyGddnB8rw44tFoemDY2Ng3CER3YAVPZ4hpSt4OcfbHOY++5nbV0VRIuSLq81stIGYSSW4kOmhXU/lbgNscnHDVYFURXwQr3aGRgXmxqRYYiVazWKN4JSCUJWXQTsDf90iStnKtGVJFQBjcjQ8sRDts+wMZmf3NEp2LqixAuSH0IM4DusQDwmgugoibbAAAJ0oDCC5G6tV95JaFlWAdxGWf7HoLgGgVp/wTHccRaGTjBc0r0Jtco0/agsmmIgtlU5BbTd74GhHsEKHHshCsJ1UMrb2NjUx+O+Bl7fVE8I5GOT5G+mWAUIFwnmJWooSXIwutA7iS++NwPRi6y9GFE+j/jX0R4iJvaURqBUYi1H4wBgdmmp3vGf6HorxBaZXbAkBIcnc3uT1UvJVTIeBECc5D+L0CkILxnIxzdar8ZYFohGDU1h3aa/jk2Njb7HTuw7wNCa2mqWariPAoaz0OG15sVo4HPI12YqqODfyZGoQ+R9gDCasardQWRGVmorfqQ8CBS70FqnaDkH2YFa8zCZwDCGxDBH8wGIKGloK8zF2AdveI0nFDM4iNHN1CbVWrsE7oXyVciC/9KrCvmnh1MjyIxAAAH7UlEQVRExFzNxsZmf3PI+bEfakijDLl7APGdFp3gGoJIe9hcGFVzojzlZXit2aqvsgAoBN7zECl/r/RekWX/NvXkVrl996ko6Q/VPk7pQxZcYPrvyKC5DiC8iMzp5iJzAhi+2VB6Hxi7MN80NPP7KR5E+tOVHu42Njb14/D1Yz/EEEoy0jkAgj9hvagaNHum7h5o5udlEOkeg0i7HyGcpkqn0bemb4xRBM5+CHWvSkUIAc6+yAqX6TkThSNhPx1Z9iyEfqfSjkCGzWrV4hsRWTMSOofiGYV0jwRZgURDhFcCCjh6VJqU2djY7H/swH4AEGkPIwvOi9PHFMzKUj0iowT8s5EiBZF2l3m80GpW7jgHm/l4WVHt/CrCk6DE0DeTWI8ZA0LLkUZxtcKk+AghTIkkRNRDNjY2BxpbFdOAyMB8jIILMXJHYhTfigxvAUCoWYjsz8A5nMRuuR98b2MEfkmoj6sQGiLzVVBbmgFeJJmLn+mPITTTE92qX2s0NenvD3y6zsbGpv7YM/YGwqiYCSV3U9mI2rcV6Z8NWTMjlr0C0m5H5i2opc3dHkJQOBWptYXM/9U6YxZaB8j+MpIj94OjG0I4kPouZMldEPgGAOkahki9G6E2jj6B+6RIm7+qi7ACtE4IxVaz2NgcStgz9gZAyrDZDIOqNgM6yHJzYTOCUJsjsmaa9gBKDmg9QKvJP8UH4TXI4jsTGocQAuHojHD2NoO6DCLzz4oE9Ui6JzAXWTARKaMXc0XylaC1jtgrAHhMhUz6wwld28bG5uDBnrE3BPoOrH1WDAguiNoitFZRwVKG/kAWTKrWyKMqIQh8iZQhRLz+qvHwzzaNwqLOq5uLsIGvo+SHQkmGrA8h8DUytBShtgT3+DgeMTY2Ngcz+zRjF0I8LIT4QwixVAgxU4gjtAJFSY90YbL6rGZVinB02TuLr8F/Rhq1VKlaoW+IpH2qIX2WFr1CaAj3KJSUGxHeiXZQt7E5RNnXVMyXQA8pZS9gNXDrvg/p0EMoKeAeiWmtWxUPIvmvtR+vtTW15q4xWP9KJOSOxCi4FGmUJD4wrWOV1ErVC3rMz2xsbA5L9imwSylnS1kpnv4JaLHvQzo0EWn3RxwbnRFVihdSrkbUodpSpN4S6V/qrvaJBIIQ/AFZeEXig3INByWT6IybZr5FWLhL2tjYHB40ZI79IiCxSpbDECE8iIwnkEYB6LmgtTb7pdblHGpTyP4C6XsPyl8BY0e1PUIQWooMb0ZorRIYkxOy3kGW3Af+L82N7tGI1FtNbbyNjc1hSa3/uoUQXwE5Fh/9Q0r5YWSff2CWVb5Rw3kuBS4FaNWq9qB0qCKUzMgsub7HpyKSpmD4PrUI7IDQIiX7id1DoWQi0v9V7/HY2NgcetQa2KWUI2r6XAhxAXAScKKsoQJGSvk88DyYXjF1HOeRh2tgpM1dNY8ZGQKt058yJBsbm0ODfVXFjAH+DpwiZZzmlzb1QngvBJFM9LPXA0kXJVzeb2Njc2Syr4nWJzGlIF9GbGB/klJets+jskGo2ZD9IbLsSQh8B0oGImmqWSFqY2NjUwP7FNillIkbdtvUGaHmINKm/dnDsLGxOcSwLQVsbGxsDjPswG5jY2NzmGEH9v9v7/5C/Z7jOI4/n62JolxQtC1cSNZiSprczS4OiSjFhRSXFOUC7cq12hUlRW4WKRaR5qhpN/6mY22dTUvJiZqSkKLxdvH7qqXlLPt+f5/2+b0edep8z+90vq935/xefc/38/39vhERnUmxR0R0JsUeEdGZFHtERGc8k1uvjb5T/QH4ZqIffwnwP97j9py0SLNC5u1d5l3fFVW17h3qmxT7lNTPq+rG1jnmYZFmhczbu8w7npyKiYjoTIo9IqIzPRb7i60DzNEizQqZt3eZdyTdnWOPiFh0PR6xR0QstO6KXX1WPaoeUvepF7fONCX1XvWI+pfa7RUF6pJ6TD2uPtU6z5TUl9UT6uHWWaamblEPqKvD3/FjrTNNST1f/VT9cpj3mSn2012xA8vAtqq6DvgKeLpxnqkdBu4BDrYOMhV1A/A8cBuwFbhf3do21aReAZZah5iTk8ATVXUtsAN4pPPf7e/Azqq6HtgOLKk7xt5Jd8VeVe9X1clh82Ngc8s8U6uq1ao61jrHxG4CjlfV11X1B/AacFfjTJOpqoPAj61zzENVfV9VXwyf/wKsApvapppOzfw6bG4cPkZf6Oyu2P/lIeC91iHirG0Cvj1le42On/yLSr0SuAH4pG2Saakb1BXgBLBcVaPPe7a3xmtC/QC47DQP7a6qt4bv2c3s37y988w2hTOZt3Oe5mu5nKsj6oXAG8DjVfVz6zxTqqo/ge3D+t8+dVtVjbqeck4We1Xt+q/H1QeBO4Bbq4PrOdebdwGsAVtO2d4MfNcoS4xM3cis1PdW1Zut88xLVf2kfshsPWXUYu/uVIy6BDwJ3FlVv7XOE6P4DLhavUo9D7gPeLtxphiBKvASsFpVe1rnmZp66T9X6qkXALuAo2Pvp7tiB54DLgKW1RX1hdaBpqTera4BNwPvqvtbZxrbsBj+KLCf2eLa61V1pG2q6aivAh8B16hr6sOtM03oFuABYOfwfF1Rb28dakKXAwfUQ8wOWJar6p2xd5JXnkZEdKbHI/aIiIWWYo+I6EyKPSKiMyn2iIjOpNgjIjqTYo+I6EyKPSKiMyn2iIjO/A2uvmXuVPw1LgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 2816.407652684516\n"
     ]
    }
   ],
   "source": [
    "y_pred = Birch(n_clusters = 4).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 3295.634922726645\n"
     ]
    }
   ],
   "source": [
    "y_pred = Birch(n_clusters = 4, threshold = 0.3).fit_predict(X)\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 2155.10021807852\n"
     ]
    }
   ],
   "source": [
    "y_pred = Birch(n_clusters = 4, threshold = 0.1).fit_predict(X)\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 3301.8023106358173\n"
     ]
    }
   ],
   "source": [
    "y_pred = Birch(n_clusters = 4, threshold = 0.3, branching_factor = 20).fit_predict(X)\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski-Harabasz Score 2800.878409621567\n"
     ]
    }
   ],
   "source": [
    "y_pred = Birch(n_clusters = 4, threshold = 0.3, branching_factor = 10).fit_predict(X)\n",
    "print (\"Calinski-Harabasz Score\", metrics.calinski_harabaz_score(X, y_pred)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
